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Lecture
Divergence: Vector Calculus
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Vector Calculus: Gradient, Divergence, Curl
Covers vector calculus concepts like gradient, divergence, and curl with applications in physics and engineering.
Vector Fields: Gradient and Divergence
Covers vector fields, gradient, divergence, heat flux, and stress tensors.
Divergence of Vector Fields
Explores divergence of vector fields, rotational definitions, and integral derivation applications.
Vectorial Calculus
Explores vectorial calculus, divergence, curl, gradient, implicit functions, and local inversion theorems.
Vector Analysis: Basics and Applications
Explores the importance of vector analysis in physics and engineering, showcasing its application in various laws and relationships.
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Covers integrating functions over graph surfaces in vector calculus, emphasizing the interpretation of divergence theorem and special cases of domain between two graphs.
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Explores surface integrals, change of variables, and properties of regular surfaces.
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Covers the concept of Green function and Laplacian formulas in mathematics.
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Covers the analysis of scalar fields, including divergence, gradient, and Laplacian.